Wardowski Conditions to the Coincidence Problem
Author(s):
Dr C Vijender , Sreenidhi Institute of Science and technology, Hyderabad
Keywords:
Fixed point, contractivity, coincidence points, self-mappings
Abstract:
In this article, we first discuss the existence and uniqueness of a solution for the coincidence problem: Find p ∈ X such that Tp = Sp, where X is a nonempty set, Y is a complete metric space, and T, S:X → Y are two mappings satisfying a Wardowski type condition of contractivity. Later on, we will state the convergence of the Picard-Juncgk iteration process to the above coincidence problem as well as a rate of convergence for this iteration scheme. Finally, we shall apply our results to study the existence and uniqueness of a solution as well as the convergence of the Picard-Juncgk iteration process toward the solution of a second order differential equation.
Other Details:
Manuscript Id | : | IJSTEV3I5023
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Published in | : | Volume : 3, Issue : 5
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Publication Date | : | 01/12/2016
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Page(s) | : | 13-16
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